That this is indeed tenable and the corresponding system of equations, given explicitly
by the above set (REF ) – (REF ), do admit an exact solution describing
an effective \(\Lambda \) CDM evolution had already been demonstrated in a few earlier works
involving one of us (SD) [1]}, [2]}, [3]}. However, certain inherently intriguing
aspects of such a solution remain to be explored, particularly from the point of view
of asserting stringent parametric limits pertaining to the physical realization of a
unified cosmological dark sector. We endeavor to do so in this paper, by first noting
that Eq. (REF ) immediately implies Eq. (REF ) reducing to
\(U_{_Q}(a) =\, \kappa ^2 \Lambda \left(1 +\, \frac{\beta }{a^3}\right) \,,\) 
